For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
Given:
The system of equation is
To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is
...(i)
Here, slope is 
and y-intercept is 4.
The second equation is
...(i)
Here, slope is and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.
Answer:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
